Question

Помогите. (√18-√96)²+(7√3)²

Answer 1

$(sqrt{18} - sqrt{96})^{2} + (7sqrt{3} )^{2} = (sqrt{2*9} - sqrt{16*6})^{2} + (7sqrt{3} )^{2} = \ =(3sqrt{2} - 4sqrt{6})^{2} + (7sqrt{3} )^{2} = (3sqrt{2} )^{2} - 2*3sqrt{2} *4sqrt{6} + \ +(4sqrt{6})^{2}+49*3 = 9*2 - 24 sqrt{12}+16*6 + 147= \ = 18 + 96+147 - 24 sqrt{4*3} = 261 - 48sqrt{3}$